From the 1 of 13 linked papers with an AI index.
13 papers
Entropy power functional theory for Brownian many-body dynamics
Matthias Schmidt
We present a formally exact variational scheme for the overdamped Brownian dynamics of pairwise interacting many-body systems in general spatiotemporal nonequilibrium. A joint free…
Quantum statistical mechanical gauge invariance
Johanna Müller, Matthias Schmidt
The paper introduces a quantum shifting superoperator to describe gauge transformations in quantum many‑body statistical mechanics, deriving exact equilibrium sum rules that link l…
Entropy density functional universality: Correlation, response, and entropic Ornstein-Zernike structure
Matthias Schmidt
We give a comprehensive account of the recent entropy density functional theory for the equilibrium statistical mechanics of classical many-body systems (arXiv:2606.28240). The app…
Entropy density functional theory for inhomogeneous fluids
Matthias Schmidt
We present an exact variational scheme for the physics of inhomogeneous classical fluids in thermal equilibrium. A joint metadensity minimization principle is proven for the one-bo…
Nonequilibrium scaling of drag forces in counterdriven fluid mixtures
Jonas Köglmayr, Jonas Köglmayr, Florian Sammüller +2
We address the effective nonequilibrium drag force field that emerges from the microscopic interparticle interactions in steady states of counterdriven binary fluid mixtures. Using…
Quantum statistical mechanics: Gauge invariance, operator shifting, hyperdensity functionals, and nonequilibrium sum rules
Johanna Müller, Matthias Schmidt
We provide an extended acount of the recent statistical mechanical theory of gauge invariance against operator shifting in quantum many-body systems (arXiv:2509.20494). The gauge t…